If X and Y are independent exponential random variables with respective means 1/2, and 1/2, then (a)

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If X and Y are independent exponential random variables with respective means 1/2, and 1/2, then

(a) use the lack of memory property of the exponential to intuitively explain why Z min(X, Y) is exponential.

(b) what is the conditional distribution of Z given that Z = X?

(c) give a heuristic argument that the conditional distribution of Y-Z, given that ZX, is exponential with mean 1/22.

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Introduction To Probability Models

ISBN: 9780125984706

6th Edition

Authors: Sheldon M. Ross

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Question Posted: Aug 31, 2024 08:02 AM

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If X and Y are independent exponential random variables with respective means 1/2, and 1/2, then (a)

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Introduction To Probability Models

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